Proof of a conformal mapping relationship
نویسندگان
چکیده
منابع مشابه
X. Conformal Mapping
Innovations in conformal mapping continue to extend this classical technique to more complicated configurations, and surveys of the various techniques available are given in Ref. [7] and Ref. [1]. Some specific recommendations of techniques and tools are given in Ref. [7]. Conformal systems have advantage the of introducing the fewest additional terms in transformed partial differential equatio...
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We answer a question raised by M. Chuaqui, P. Duren, and B. Osgood by showing that a conformal mapping of a simply connected domain cannot take two circles onto two proper ellipses. The goal of this note is to prove the following. Proposition 1. Let Ω be a simply connected domain on C = C ∪ {∞} containing circles (on C) C1 and C2, C1 = C2. Let f be a conformal mapping from Ω into C. If f maps e...
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Few analytical techniques are better known to students of applied mathematics than conformal mapping. It is the classical method for solving problems in continuum mechanics, electrostatics, and other fields involving the two-dimensional Laplace and Poisson equations. To employ the method, one needs an explicit mapping function from some standard domain— such as the unit disk or upper half plane...
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چکیده ندارد.
Author's Personal Copy a Conformal Mapping Example
Article history: Received 16 March 2011 Accepted 19 April 2011 Available online 5 May 2011 Presented by Gilles Pisier An example is constructed of two Riemann maps φ and ψ of the unit disk onto the same domain such that φ′/ψ ′ is bounded but not bounded away from zero. This is shown by producing explicit analytic expressions of φ and ψ . © 2011 Académie des sciences. Published by Elsevier Masso...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1974
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700040673